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Suppose the Position Function for a Free-Falling Object on a Certain

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Suppose the position function for a free-falling object on a certain planet is given by s(t) =12t2+v0t+s0s ( t ) = - 12 t ^ { 2 } + v _ { 0 } t + s _ { 0 } . A silver coin is dropped from the top of a building that is 1372 feet tall. Find the instantaneous velocity of the coin when t=4t = 4 .

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Definitions:

Weights

Measures of the force of gravity acting on an object, commonly used in the context of physical objects or body mass.

Senior Moment

A momentary lapse in memory or confusion, often humorously attributed to the aging process.

Dementia

Dementia describes a category of brain conditions that cause a long-term and often gradual decrease in the ability to think and remember that is severe enough to affect a person's daily functioning.

Temporary Amnesia

A short-term loss of memory, often due to trauma, stress, or a specific neurological event.

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